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Folding a Triangle — Optimally

Optimization Under Constraints

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Abstract

How should you fold a triangular piece of paper, satisfying some constraints and optimizing an objective function?

We hope you enjoy the interplay among geometry, algebra, trigonometry and calculus as we solve the problems, and be inspired to pose and solve more problems.

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Suggested Reading

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Acknowledgement

I sincerely thank the members of the Journeymen friends group who participated in a paper folding experiment. Thanks are due to an anonymous referee who wrote some encouraging remarks and the Editor who suggested an improvement.

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Authors and Affiliations

  1. Mathematical Sciences Indiana, University-Purdue University Indianapolis, 402 North Blackford Street, Indianapolis, IN, 46202, USA

    Jyotirmoy Sarkar

Authors
  1. Jyotirmoy Sarkar
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Correspondence to Jyotirmoy Sarkar.

Additional information

Jyotirmoy Sarkar is a Professor working at Indiana University-Purdue University Indianapolis. His research areas include enumeration, probability, statistics, and reliability theory. He enjoys reading,’ riting,’ rithmetic and R-coding.

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Sarkar, J. Folding a Triangle — Optimally. Reson 28, 1549–1567 (2023). https://doi.org/10.1007/s12045-023-1690-5

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  • DOI: https://doi.org/10.1007/s12045-023-1690-5

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